In this paper a short proof is given of a theorem of M . Gromov in a particular case using a combinatorial argument .
The Growth of Linear Groups
โ Scribed by Yehuda Shalom
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 124 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We present a short, self-contained, relatively simple proof to the growth dichotomy of linear groups. The proof depends on the fixed point property of amenable groups, and the main tool is Furstenberg's Lemma regarding measures on projective spaces.
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